The number 1354
1354 is a composite number with 4 divisors. Its prime factorisation is 2 × 677. Divisors (4): 1, 2, 677, 1354.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1354: a semiprime: 2 × 677, the product of two primes.
- 2
1354 is composite. Its prime factorisation is
- 3
The divisors add up to 2034; without 1354 itself that is 680, so 1354 is deficient (680 is less than 1354). Euler's totient φ(1354) = 676 numbers up to 1354 share no factor with it.
- 4
The digits of 1354 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1354 = 2 \times 677 \]
1354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2034 |
| Euler totient φ(n) | 676 |
| Square | 1833316 |
| Cube | 2482309864 |
| Square root | 36.796739 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.354 × |
1354 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fifty-four |
| Roman numerals | MCCCLIV |
| Binary (base 2) | 10101001010 |
| Octal (base 8) | 2512 |
| Hexadecimal (base 16) | 54A |
| Base 3 | 1212011 |
| As time | 1354 seconds = 22 min 34 s |
Is 1354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1354 ÷ 2 = 677) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1354 a prime number?
No. 1354 = 2 × 677, so it is divisible by 2.
What are the factors of 1354?
1, 2, 677, 1354.
What is 1354 in binary?
10101001010 (hexadecimal 54A, octal 2512).
What is the square root of 1354?
About 36.7967.
What is 1354 in Roman numerals?
MCCCLIV.
Is 1354 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1354?
1354 is a semiprime: 2 × 677, the product of two primes.